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What is a multi-step inequality?

Back

A multi-step inequality is an inequality that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, or division.

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What does it mean when an inequality has 'all real numbers' as a solution?

Back

It means that any real number can satisfy the inequality, indicating that the inequality is true for every value of the variable.

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What does it mean when an inequality has 'no solution'?

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It means that there are no values for the variable that can satisfy the inequality, indicating a contradiction.

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All real numbers.

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All real numbers.

Front

Solve the inequality: -3(9 + x) ≥ -21

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Front

Solve the inequality: 4(2a + 3) < 3(a - 1)

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Front

Solve the inequality: 3(y + 1) ≥ -6

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Add 5 to both sides to isolate the term with x.

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What is the principle of reversing the inequality sign?

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When multiplying or dividing both sides of an inequality by a negative number, the direction of the inequality sign must be reversed.